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arXiv · 2507.07753

Exact renormalisation for patch frequencies in inflation systems

Jan Mazáč
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Abstract

This note provides an explicit way of calculating the patch frequencies in geometric realisations of primitive substitutions using exact renormalisation relations. Further, we profit from these results to obtain the patch frequencies in the symbolic case as well as in other suspensions (under mild assumptions on the substitution). We illustrate this procedure on the Fibonacci example.

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Jan Mazáč. 2025-07-10. Exact renormalisation for patch frequencies in inflation systems. https://arxiv.org/abs/2507.07753

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